Scholarlink

<p>This paper is concerned with a nonlocal predator–prey model with free boundaries. Since the complexity of the reaction term makes the results in Coville (J Differ Equ 249:2921–2953, 2010) not directly applicable, we introduce new techniques to address these challenges. We first prove the existence and uniqueness of the global solution. Then, a spreading–vanishing dichotomy is presented. Moreover, we derive some sufficient conditions for spreading and vanishing. Finally, when spreading occurs, we obtain both upper and lower bounds for the asymptotic spreading speed of the free boundaries.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A nonlocal predator–prey model with free boundaries

  • 期刊论文

  • 发表日期：

    2025年12月14日

查看全文
  • Meng Zhao,
  • Wei-Zhi Zeng,
  • Rong Wang

摘要

This paper is concerned with a nonlocal predator–prey model with free boundaries. Since the complexity of the reaction term makes the results in Coville (J Differ Equ 249:2921–2953, 2010) not directly applicable, we introduce new techniques to address these challenges. We first prove the existence and uniqueness of the global solution. Then, a spreading–vanishing dichotomy is presented. Moreover, we derive some sufficient conditions for spreading and vanishing. Finally, when spreading occurs, we obtain both upper and lower bounds for the asymptotic spreading speed of the free boundaries.